Hi John,
I use a Ten Tec Jupiter transceiver as a receiver with my Johnson Ranger. It has no provision for muting but I found a good work-around. When I want to mute the Jupiter, I put the Jupiter in the transmit mode with the PTT but within the Jupiter's menu there is a provision to turn off the transmitter. So when the Ranger gets keyed, a set of contacts engage the Jupiter's PTT but the transmitter is disable through the menu. If your rig allows the power to be set to zero, you may be able to do a similar thing.
Joe, W3GMS
I know my Icom 718 allows the same thing, I know that the 718 has two menus, quick set and initial set, the setting to disable transmit is under initial set. I believe the 718 also allows transmit disable by mode, so i could disable AM transmit but still have SSB and CW. I'm curious to see if the 7600 does the same thing.